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Beliebt Rechnen >

(\partial)/(\partial v)(3yuxuv^3-2)

Lösung

\frac{\partial}{\partial v} (3 y uxu v^{3} - 2)

Lösung

9 y u^{2} x v^{2}

Schritte zur Lösung

\frac{\partial}{\partial v} (3 y uxu v^{3} - 2)

Vereinfache

3 y uxu v^{3} - 2 : 3 y u^{2} x v^{3} - 2

= \frac{\partial}{\partial v} (3 y u^{2} x v^{3} - 2)

Behandle

y, u, x

als Konstanten

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial v} (3 y u^{2} x v^{3}) - \frac{\partial}{\partial v} (2)

\frac{\partial}{\partial v} (3 y u^{2} x v^{3}) = 9 y u^{2} x v^{2}

\frac{\partial}{\partial v} (2) = 0

= 9 y u^{2} x v^{2} - 0

Vereinfache

= 9 y u^{2} x v^{2}

Beliebte Beispiele

integral of 5cos(sqrt(9x))

\int 5 cos (9 x) d x

(\partial)/(\partial z)(yze^x)

\frac{\partial}{\partial z} (yz e^{x})

(\partial)/(\partial x)(xe^{-x^2-y^2-z^2})

\frac{\partial}{\partial x} (x e^{- x^{2} - y^{2} - z^{2}})

integral of 4sin(2θ)

\int 4 sin (2 θ) d θ

integral from-2 to 2 of x^2-4

\int_{- 2}^{2} x^{2} - 4 d x